Question

Will give brainliest! Help me solve this logs problem!! Thank you​

Answer 1

Answer:

4

Step-by-step explanation:

solving equation 1

• log125 base 5√5=x
• [5√5=√(25×5)=√125]
• log125 base 125=x
• [From one of the principles of logarithm " logA base a =1]
• therefore, log125 base 125=1
• x=1

solving equation 2

• log 64 base 2√2=y
• [2√2=√(4×2)=√8]
• log 64 base√8=y
• 64=(√8)^y
• 64=8^(½y)
• 8²=8^(½y)
• (8 cancels in both equations and I evaluate the powers figures)
• 2=½y
• y=2×2=4

the product of x and y=x•y=1×4=4